Curved-crease origami can be designed by considering the properties of ruling lines, lines on the crease pattern that remain straight in the 3D folded form. This technique was developed by David Huffman, who identified conic section curves has being particularly suitable for curved-crease designs. Two examples using ellipses are given as crease patterns.

The addition of curvature introduces some situations which conventional crease patterns are not good at dealing with. I present some ideas for incorporating surface curvature into crease patterns, and discuss why I chose these schematics.

With many tessellations, the obvious way to design the crease pattern doesn't necessarily result in a foldable pattern. By adding extra creases to the pattern, you can sometimes find an alternate way to the finished form, as you'll see in this geometric pattern.

The first in a series, analyzing crease patterns. In this article, we take a big picture look at a Werewolf designed by <a href="http://www.flickr.com/photos/53465278@N02/" target="blank">Jacob Rossman</a>.

Making a crease pattern takes less time than drawing a full diagram, but because of the technical difficulty, most folders don't like working with them. Here's some ideas about how to make things easier without spending dozens of hours on a full diagram.